James Beattie is in training with League One Bournemouth and boss Lee Bradbury would like to sign the 33-year-old.
Beattie is a free agent having left Rangers at the end of the season and has been searching for a new club, reports BBC Sport.
"Obviously it would be a massive plus for us if we could sign someone of James's calibre," said Bradbury.
Beattie, who also played for Sheffield United, has amounted transfer fees of £14.5m in a career that began at Blackburn in 1995.
"He's living locally so there is an opportunity if things go well for both parties," added Bradbury.
"He's not had any training as such with the football. He's been training in the gym on his own and he's just come in to get fit and for us to look at him and for him to look at us."